These models use a tetrahedral mesh generator package << TetGenLink` to analyze the cells created by the edges selected.
Note: The Mathematica auto-generated geometry statistics of 120 vertices, 720 golden-ratio length edges, 1200 faces, and 600 color-coded cells, with a surface area of 11.4 volume of 127.
The transparent shaded blue is the outer hull that forms the Pentakis Icosidodecahedron with a vertex hull having 30 vertices of Norm=1 from the center. All 120 vertices form concentric hulls in groups:
1) two points at the origin
2) two icosahedra (24)
3) two dodecahedra (40)
4) two larger icosahedra (24)
5) one icosidodecahedron (30)
H4 600-Cell with 3D vertex shapes representing Standard Model physics particle assignments and color-coded cells
H4 600-Cell with 1200 unit length edges, 2400 faces and 600-cells. 3D vertex shapes representing Standard Model physics particle assignments and color-coded cells are also shown
The H4 120-cell (J), dual of the 600-cell, showing the hull of the chamfered dodecahedron. It is also called a truncated rhombic triacontahedron, constructed as a truncation of the rhombic triacontahedron. It can more accurately be called an order-5 truncated rhombic triacontahedron because only the order-5 vertices are truncated. It is shown with physics particle assignments.
Same as above with interior color-coded cells displayed
The H4 120-cell (J) showing another layer of outer edges. Note:These edges are at a different Norm radius and show a similar pattern to the dual 120-cell (J’) below.
An animated alternate form 120-cell (J’), which seems to be a new (near-miss Johnson solid?) constructed using D4′ (or T’) vs. D4 (T) above.
The H4 dual 120-cell (J’) build of outer edges and color-coded cells
The H4 dual 120-cell (J’) build of outer edges with physics particle assignments
